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D. Lamar's teacher extended the graph as shown below and asked Lamar to write the function for the graph shown below using f(x) for the function name.

D. Lamar's teacher extended the graph as shown below and asked Lamar to write the-example-1

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You can read the slope of the line directly from the graph:

m = rise/run = 1/1 = 1. Also easily visible is the y-intercept, b = 1.

Thus, this linear function has the equation f(x) = x + 1.
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